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Finding the Fourth Proportional to 355,541.81, 490,644.34 and 194,395.14

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Solution

The fourth proportional to 355,541.81, 490,644.34 and 194,395.14 is: 268,263.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,541.81 : 490,644.34 = 194,395.14 : x
  2. Step 2: Convert to fraction form
    355,541.81/490,644.34 = 194,395.14/x
  3. Step 3: Cross multiply
    355,541.81x = 490,644.34 × 194,395.14
  4. Step 4: Simplify right side
    355,541.81x = 95,378,874,678.52
  5. Step 5: Solve for x
    x = 95,378,874,678.52/355,541.81
  6. Step 6: Final answer
    x = 268,263.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.